The Complexity of the Core Model

Mathematics – Logic

Scientific paper

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Scientific paper

We use the Sigma^1_3 absoluteness theorem to show that the complexity of the
statement "(omega,E)$ is isomorphic to an initial segment of the core model"
is Pi^1_4, and that the complexity of the statement "(omega,E)$ is isomorphic
to a member of the core model" is Delta^1_5.

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